What is the surface area of a triangular prism with the length of 32 the width of 24 and the height of 18

1 answer:

3 0

The formula for volume is V=1/2 L.W.H
Therefore the correct way to find the volume is (24)(18)(32)= 13,824 divided by two =
6,912 unit3

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Ten friends want to play a game. They must be divided into three teams with three people in each team and one field judge. In ho

serious [3.7K]

Answer:

<h2> 16,800 number of ways</h2>

Step-by-step explanation:

Let the ten friends represents the 10 letters ABCDEFGHIJ. If they must be divided into three teams with three people in each team and one field judge, the arrangement will become (ABC)(DEF)(GHI)J

This shows that ABC, DEF and GHI are the three teams and J is the chief judge. Since each groups are now a team, we can represent everyone in each teams with the same letter except the judge as shown;

(AAA)(BBB)(CCC)J where J is the judge

Since there are 10 friends in all and there are A, B and C are repeated three times, the arrangement can be done in the following way as shown;

$\frac{10!}{3!3!3!1!}$

$= \frac{10*9*8*7*6*5*4*3!}{3!*6*6*1}\\ = \frac{10*8*7*6*5}{1} \\= 16,800ways$

This shows that they can do it 16,800 number of ways

5 0

3 years ago

Karen has 3 quarts of apple juice. To equally pour 32 cups of apple juice for her preschool class she needs 2 gallons of apple j

Lynna [10]

1 gallon = 4 quarts.

2 gallons = 4 x2 = 8 quarts

She needs 8 quarts total and has 3 quarts.

8-3 = 5

She needs 5 more quarts.

5 0

3 years ago

A rectangular swimming pool can hold 1408 cubic feet of water. the pool is 22 feet long and has a depth of 4 feet. what is the w

drek231 [11]

Depth is the same thing as height for a pool. Volume is l*w*h.
The total amount of water a pool can hold is the volume.
so take the total volume (1408) and divide it by 22 and 4.
1408/4/22=16
The width is 16 ft.

4 0

4 years ago

Read 2 more answers

A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.

Zigmanuir [339]

Answer: $(20.0\%,24.0\%)$

Step-by-step explanation:

Given, A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.

Here , 1,627 adults are determining the sample.

Thus, sample size : n = 1627

Also, the sample proportion of adults felt fully engaged with their mortgage provider are $\hat{p}=22\%=0.22$

for 95% confidence level , critical z-value =1.96

Then , the 95% confidence interval would be :-

$\hat{p}\pm z\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

Substituting values , we get

$0.22\pm 1.96(\sqrt{\dfrac{0.22(1-0.22)}{1627}})\\\\=0.22\pm 1.96\sqrt{\dfrac{0.22\times0.78}{1627}}\\\\\approx0.22\pm0.0201\\\\=(0.22-0.0201,\ 0.22+0.0201)\\\\=(0.1999,\ 0.2401)\approx(20.0\%,24.0\%)$